Answer:
x = 7, -7
Step-by-step explanation:
(2x-1)(3x+2)+x+292
3x - 2x +x = 2 - 1 + 292
(6)x - 294 = 6(x - 49)
Use communicative property of multiplication
Example: (A+B)(A-B)
49 is the square of 7
x square is the square of x to the power of 1
(x+7)(x-7)
Answer:
The width of the frame is 0.0746 meters
Step-by-step explanation:
We are told that after the frame has been attached to the solar collector, the area that is left exposed is . As we see in the figure, the dimensions of this area are
and
where is the width of the frame.
The product of these dimensions must equal the exposed area:
Now since and
we have:
we expand this and solve for x using the quadratic formula:
we get two solutions:
We take the second solution i.e , because first one gives a width larger than the dimensions of the solar collector which cannot be possible.
Thus the width of the frame is 0.0746 meters.
